Electron. J. Diff. Eqns., Vol. 2005(2005), No. 55, pp. 116.
On the AharonovCasher formula for different selfadjoint
extensions of the Pauli operator with singular magnetic field
Mikael Persson
Abstract:
Two different selfadjoint Pauli extensions describing a
spin1/2 twodimensional quantum system with singular
magnetic field are studied. An AharonovCasher type formula
is proved for the maximal Pauli extension and the possibility
of approximation of the two different selfadjoint extensions
by operators with regular magnetic fields is investigated.
Submitted February 17, 2005. Published May 24, 2005.
Math Subject Classifications: 81Q10, 35Q40, 47F05.
Key Words: Schrodinger operators; spectral analysis.
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Mikael Persson
Department of Mathematical Sciences,
Division of Mathematics
Chalmers University of Technology
and Göoteborg University
412 96 Göteborg, Sweden
email: mickep@math.chalmers.se
http://www.math.chalmers.se/~mickep

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